Hexadecimal to Binary

A Hexadecimal to Binary Converter is a tool designed to convert numbers from the hexadecimal system (base-16) into the binary system (base-2). Hexadecimal values are commonly used in computing, digital electronics, and programming for compact representation of binary data.

While the binary system uses only 0 and 1, the hexadecimal system uses sixteen characters: 0–9 and A–F, where A = 10, B = 11, ..., F = 15.

Conversion Principle:

Each hex digit corresponds to a 4-bit binary number.

To convert hexadecimal to binary, replace every hex digit with its 4-bit binary equivalent.

Example:

Hexadecimal: 2F

→ 2 = 0010, F = 1111

→ Binary = 00101111

Common Uses for Hexadecimal to Binary Conversion:

• Programming: Memory addresses and machine code are often shown in hexadecimal but processed in binary.
• Networking: MAC addresses, IP packet headers, and hash values use hexadecimal.
• Digital Electronics: Register values and hardware debugging often involve hex-to-binary decoding.
• Color Codes: Web color codes like #FF5733 are hexadecimal, converting to binary for pixel manipulation.
• Cryptography: Binary equivalents of hex keys and encrypted values are vital in encryption processes.

Key Features of Hexadecimal to Binary Converter:

• Precise Mapping: Each hex digit is accurately converted to 4 binary bits.
• Real-Time Conversion: Instant binary output with every character entered.
• Handles Both Integers and Fractions: Convert values like 1A.F accurately.
• Supports Long Values: No size limit for input values.
• User-Friendly Interface: Designed for students, developers, and hardware professionals.
• Copy-Friendly: Binary output can be copied directly for development use.

The Hexadecimal to Binary Converter makes it simple to convert compact hex data into expanded binary format for any technical application.

Enter a Hexadecimal Number:

For example, 4C, 1A3, or F.8.

Conversion Happens Instantly:

Each digit is converted to its 4-bit binary form.

Read the Full Binary Result:

See the result update in real-time.

Apply in Your Work:

Use for embedded development, assembly code, or decoding instructions.

Formula:

Each Hex Digit → 4-Bit Binary Equivalent

Example 1: Hex: A2

→ A = 1010, 2 = 0010 → Binary = 10100010

Example 2: Hex: 1F4

→ 1 = 0001, F = 1111, 4 = 0100 → Binary = 000111110100



Example 3: Hex: 9.B

→ 9 = 1001, . = ., B = 1011 → Binary = 1001.1011

Hexadecimal

Binary

0

0000

1

0001

2

0010

3

0011

4

0100

5

0101

6

0110

7

0111

8

1000

9

1001

A

1010

B

1011

C

1100

D

1101

E

1110

F

1111

Steps to Convert Hexadecimal to Binary:

1. Write down the hexadecimal number.
2. Replace each hex digit with its 4-bit binary equivalent using the reference table.
3. Combine all the binary groups to form the final binary number.

Formula:



Binary = Join(4-bit binary values for each hex digit)